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A293507
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E.g.f.: exp(x/(1 - x^4)).
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3
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1, 1, 1, 1, 1, 121, 721, 2521, 6721, 378001, 5473441, 39972241, 199679041, 7005552841, 176899522801, 2186722497961, 17454339826561, 459473703430561, 16503993702423361, 306140370496394401, 3555223271216311681, 80917223353652470681, 3568770455830785208081
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OFFSET
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0,6
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LINKS
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FORMULA
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E.g.f.: Product_{k>0} exp(x^(4*k-3)).
a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/4)} binomial(n-1,4*k) * (4*k+1)! * a(n-4*k-1). - Ilya Gutkovskiy, Feb 24 2022
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MATHEMATICA
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CoefficientList[Series[E^(x/(1 - x^4)), {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Oct 11 2017 *)
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PROG
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(PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp(x/(1-x^4))))
(PARI) N=66; x='x+O('x^N); Vec(serlaplace(prod(k=1, N, exp(x^(4*k-3)))))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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